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Finding the Fourth Proportional to 317,455.50, 438,074.80 and 174,217.93

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Solution

The fourth proportional to 317,455.50, 438,074.80 and 174,217.93 is: 240,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,455.50 : 438,074.80 = 174,217.93 : x
  2. Step 2: Convert to fraction form
    317,455.50/438,074.80 = 174,217.93/x
  3. Step 3: Cross multiply
    317,455.50x = 438,074.80 × 174,217.93
  4. Step 4: Simplify right side
    317,455.50x = 76,320,484,841.16
  5. Step 5: Solve for x
    x = 76,320,484,841.16/317,455.50
  6. Step 6: Final answer
    x = 240,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.